Magnetic Monopole in the Loop Representation

Abstract

We quantize the electromagnetic field in the presence of a static magnetic monopole, within the loop-representation formalism. We find that the loop-dependent wave functional becomes multivalued, in the sense that it acquires a dependence on the surfaces bounded by the loop. This generalizes what occurs in quantum mechanics in multiply connected spaces. When Dirac's quantization condition holds, this surface-dependence disappears, together with the effect of the monopole on the electromagnetic field.

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References in corpus (3)

• Photons from quantized electric flux representations
• Interacting Particles and Strings in Path and Surface Representations
• Loop representation of charged particles interacting with Maxwell and Chern-Simons fields

Cited by in corpus (2)

• Geometric Representation of the generator of duality in massless and massive $p-$form field theories
• Abelian Ashtekar formulation from the ADM action